Decomposition methods in structural optimization

Recent Advances in Optimal Structural Design

Volumn , Issue , 2002, Pages 41-53

  Balling, Richard ^a  

^a BRIGHAM YOUNG UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTATIONAL METHODS; DECOMPOSITION; ENGINEERS; STRUCTURAL ANALYSIS;

COMPUTATIONAL EFFICIENCY; DESIGN PROBLEMS;

STRUCTURAL OPTIMIZATION;

EID: 0036398215     PISSN: None     EISSN: None     Source Type: Book    
DOI: None     Document Type: Article

References (45)

1. Arslan, M.A. and Hajela, P. 1997. "Counterpropogation Neural Networks in Decomposition Based Optimal Design", Computers and Structures, Vol. 65, Pp. 641-650
2. Balling, R.J. and Sobieszczanski-Sobieski, J. 1994. "An Algorithm for Solving the System-Level Problem in Multilevel Optimization", Structural Optimization, Vol. 9, Pp. 168-177
3. Balling, R.J. and Sobieszczanski-Sobieski, J. 1996. "Optimization of Coupled Systems: A Critical Overview of Approaches", AIAA Journal, Vol. 34, No. 1, Pp. 6-17
4. Balling, R.J. and Wilkinson, C.A. 1997. "Execution of Multidisciplinary Design Optimization Approaches on Common Test Problems", AIAA Journal, Vol. 35, No. 1, Pp. 178-186
5. Balling, R.J. and Gale, D.L. 1998. "Collaborative Optimization of Systems Involving Discrete Design at the Discipline Level", ASME Journal of Mechanical Design, Vol. 120, No. 1, Pp. 32-39.
6. Balling, R., Rawlings, M., and Jacobsmeyer, H. 1999. "Divide and Conquer with Collaborative Optimization", Third World Conference on Structural and Multidisciplinary Optimization, Buffalo, NY
7. Balling, R.J. and Rawlings, M.R. 2000. "Collaborative Optimization with Disciplinary Conceptual Design", Structural Optimization, Vol. 20, No. 3
8. Barthelemy, J.-F.M. and Sobieszczanski-Sobieski, J. 1983. "Optimum Sensitivity Derivatives of Objective Functions in Nonlinear Programming", AIAA Journal, Vo. 21, No. 6, Pp. 913-915
9. Bloebaum, C.L. 1991. Formal and Heuristic System Decomposition Methods in Multidisciplinary Synthesis, NASA CR-4413
10. Braun, R.D. and Kroo, I.M. 1995. "Development and Application of the Collaborative Optimization Architecture in a Multidisciplinary Design Environment", Multidisciplinary Design Optimization: State-of-the-Art, SIAM Applied Mathematics, Vol. 80, N. Alexanderov and M.Y. Hussaini, editors
11. Chattopadhyay, A., McCarthy, T. R., and Pagaldipti, N. 1995. "Multilevel Decomposition Procedure for Efficient Design Optimization of Helicopter Rotor", AIAA Journal, Vol. 33, Pp. 223-230
12. Cramer, E.J., Dennis, J.E. Jr., Frank, P.D., Lewis, R.M., and Shubin, G.R. 1994. "Problem Formulation for Multidisciplinary Optimization", SIAM Journal on Optimization, Vol. 4, No. 4, Pp. 754-776
13. Eason, E., Nystrom, G., Burlingham, A., and Nelson E. 1994. "Nonhierarchic Multidisciplinary Optimal Design of a Commercial Aircraft", AIAA 5th Symposium on Multidisciplinary Analysis and Optimization, Panama City, FL
14. El-Sayed, M.E.M. and Hsiung, C.-K. 1994. "Comparison Between Two Decomposition Approaches for Parallel Computation of Structural Optimization", Computers and Structures, Vol. 52, Pp. 719-722
15. Grossman, B., Haftka, R.T., Kao, P.-J., Polen, D.M., Rais-Rohani, M., and Sobieszczanski-Sobieski, J. 1989. "Integrated Aerodynamic Structural Design of a Transport Wing", AIAA Paper 89-2129
16. Haftka, R.T. 1985. "Simultaneous Analysis and Design", AIAA Journal, Vol. 23, Pp. 1099-1103
17. Haftka, R.T., Sobieszczanski-Sobieski, J., and Padula, S.L. 1992. "On Options for Interdisciplinary Analysis and Design Optimization", Structural Optimization, Vol. 4, Pp. 65-74
18. Hajela, P., Bloebaum, C.L., and Sobieszczanski-Sobieski, J. 1990. "Application of Global Sensitivity Equations in Multidisciplinary Aircraft Synthesis", Journal of Aircraft, Vol. 27, Pp. 1002-1010
19. Kreisselmeier, G. and Steinhauser, R. 1983. "Application of Vector Performance Optimization to a Robust Control Loop Design for a Fighter Aircraft", International Journal of Control, Vol. 37, Pp. 251-284
20. Larsson T. and Ronnqvist, M. 1995. "Simultaneous Structural Analysis and Design Based on Augmented Lagrangian Duality", Structural Optimization, Vol. 9, Pp. 1-11
21. Lee, J. and Hajela, P. 1997. "GA's in Decomposition Based Design-Subsystem Interactions Through Immune Network Simulation", Structural Optimization, Vol. 14, Pp. 248-255
22. Lewis, K.E. 1998. "The Tradeoffs Between Cooperative and Approximate Cooperative Formulations in Multidisciplinary Design", AIAA 7th Symposium on Multidisciplinary Analysis and Optimization, AIAA paper 98-4923, St. Louis, MO
23. Orozco, C.E. and Ghattas, O.N. 1996. "Reduced SAND Method for Nonlinear Design Problems in Mechanics", AIAA/ASME/ASCE/AHS Structures, Structural Dynamics, and Materials Conference, Paper 96-1432, Salt Lake City, UT
24. Padula, S.L., Sandridge, C.A., Walsh, J.L., and Haftka, R.T. 1992. "Integrated Controls-Structures Optimization of a Large Space Structure", Computers and Structures, Vol. 42, Pp. 725-732
25. Padula, S.L., Alexandrov, N., and Green, L.L. 1996 "MDO Test Suite at NASA Langley Research Center", AIAA 6th Symposium on Multidisciplinary Analysis and Optimization, AIAA Paper 96-4028, Bellevue, WA
26. Przemieniecki, J.S. 1962. "Matrix Structural Analysis of Substructures", AIAA Journal, Vol. 1, No. 1, Pp. 138-147
27. Renaud, J.E. and Gabriele, G.A. 1993. "Improved Coordination in Non-Hierarchic System Optimization", AIAA Journal, Vol. 31, No. 12, Pp. 2367-2373
28. Renaud, J.E. and Gabriele, G.A. 1994. "Approximation in Non-Hierarchic System Optimization", AIAA Journal, Vol. 32, Pp. 198-205
29. Rohl, P.J., Mavris, D.N., and Schrage, D.P. 1995. "Combined Aerodynamic and Structural Optimization of a High-Speed Civil Transport Wing", AIAA/ASME/ASCE/AHS Structures, Structural Dynamics, and Materials Conference, Paper 95-1222, New Orleans, LA
30. Rubinstein, M.F. 1967. "Combined Analysis by Substructures and Recursion", ASCE Journal of the Structural Division, Vol. 93 No. ST2, Pp. 231-235
31. Sobieszczanski-Sobieski, J. 1982. A Linear Decomposition Method for Large Optimization Problems-Blueprint for Development, NASA TM 83248
32. Sobieszczanski-Sobieski, J., James, B.B., and Riley, M.F. 1987. "Structural Sizing by Generalized, Multilevel Optimization", AIAA Journal, Vol. 25, Pp. 139-145
33. Sobieszczanski-Sobieski, J. 1988. Optimization by Decomposition: A Step from Hierarchic to Non-Hierarchic Systems, NASA TM-101494
34. Sobieszczanski-Sobieski, J. 1990. "Sensitivity of Complex, Internally Coupled Systems", AIAA Journal, Vol. 28, No. 1, Pp. 153-160
35. Sobieszczanski-Sobieski, J., Bloebaum, C.L., and Hajela, P. 1991. "Sensitivity of Control-Augmented Structure Obtained by a System Decomposition Method", AIAA Journal, Vol. 29, Pp. 264-270
36. Sobieszczanski-Sobieski, J. 1993. "Two Alternative Ways for Solving the Coordination Problem in Multilevel Optimization", Structural Optimization, Vol. 6, Pp. 205-215
37. Sobieszczanski-Sobieski, J., Agte, J.S., and Sandusky, R.R. Jr. 1998. "Bi-Level Integrated System Synthesis (BLISS)", AIAA 7th Symposium on Multidisciplinary Analysis and Optimization, AIAA Paper 98-4916, St. Louis, MO
38. Spengemann, F. and Thierauf, G. 1991. "Optimization of Large-Scale Structures. Optimality Criteria and Domain Decomposition", Computers and Structures, Vol. 41, Pp. 495-499
39. Ta'asan, S., Kuruvila, G., and Salas, M.D. 1992. "Aerodynamic Design and Optimization in One Shot", AIAA Paper 92-0025
40. Thareja, R.R., and Haftka, R.T. 1990. "Efficient Single-Level Solution of Hierarchical Problems in Structural Optimization", AIAA Journal, Vol. 28, Pp. 506-514
41. Weinert, M. and Eschenauer, H.A. 1996. "Parallel Decomposition Algorithm in Application to Structural Design", Advances in Engineering Software, Vol. 26, Pp. 1-12
42. Wrenn, G.A. and Dovi, A.R. 1988. "Multilevel Decomposition Approach to the Preliminary Sizing of a Transport Aircraft Wing", Journal of Aircraft, Vol. 25, Pp. 632-638
43. Xicheng, W., Kennedy, D., and Williams, F.W. 1997. "Two-Level Decomposition Method for Shape Optimization of Structures", Int'l Journal for Numerical Methods in Engineering, Vol. 40, Pp. 7
44. Yu, X.Q., Stelmack, M.A., and Batill, S.M. 1998. "An Application of Concurrent Subspace Design (CSD) to the Preliminary Design of a Low-Reynolds Number UAV", AIAA 7th Symposium on Multidisciplinary Analysis and Optimization, AIAA Paper 98-4917, St. Louis, MO
45. Zhao, W. and Azarm, S. 1993. "Cross-Sectional Shape Multiplier Method for Two-Level Optimum Design of Frames", Journal of Mechanical Design, Vol. 115, Pp. 132-142